how to define mpc object’s plant as state space ?
how to define the mpc object’s plant as state space rather than transfer function. i tried to run this code but not working.
% Define system matrices (Ad, Bd, Cd, Dd) for the quadruple tank system
Ad = [-0.0173190, 0, 0.026219, 0; 0, -0.0113455, 0, 0.017708; 0, 0, -0.026219, 0; 0, 0, 0, -0.017708];
Bd = [0.0395, 0; 0, 0.03598; 0, 0.076375; 0.06378, 0];
Cd = [1, 0, 0, 0; 0, 1, 0, 0];
Dd = [0, 0; 0, 0];
% Define prediction and control horizons
predictionHorizon = 10; % Adjust as needed
controlHorizon = 3; % Adjust as needed% Define constraints (input and state constraints)
inputConstraints = [-10, 10; -10, 10]; % Adjust as needed
stateConstraints = [0, 40; 0, 40; 0, 40; 0, 40]; % Adjust as needed% Define cost function weights
Q = eye(4); % State weight matrix (adjust as needed)
R = eye(2); % Input weight matrix (adjust as needed)% Initial state
x0 = [10; 10; 10; 10]; % Adjust the initial state as needed% MPC setup
mpcobj = mpc(Ad, Bd, Cd, Dd, 'PredictionHorizon', predictionHorizon, 'ControlHorizon', controlHorizon);
NOTE:-
Matlabsolutions.com provide latest MatLab Homework Help,MatLab Assignment Help , Finance Assignment Help for students, engineers and researchers in Multiple Branches like ECE, EEE, CSE, Mechanical, Civil with 100% output.Matlab Code for B.E, B.Tech,M.E,M.Tech, Ph.D. Scholars with 100% privacy guaranteed. Get MATLAB projects with source code for your learning and research.
There was an incorrect syntax issue with mpc(), but it is now fixed below:
% Define system matrices (Ad, Bd, Cd, Dd) for the quadruple tank system
Ad = [-0.0173190, 0, 0.026219, 0; 0, -0.0113455, 0, 0.017708; 0, 0, -0.026219, 0; 0, 0, 0, -0.017708];
Bd = [0.0395, 0; 0, 0.03598; 0, 0.076375; 0.06378, 0];
Cd = [1, 0, 0, 0; 0, 1, 0, 0];
Dd = [0, 0; 0, 0];
sys = ss(Ad, Bd, Cd, Dd) % <-- added this
sys =
A =
x1 x2 x3 x4
x1 -0.01732 0 0.02622 0
x2 0 -0.01135 0 0.01771
x3 0 0 -0.02622 0
x4 0 0 0 -0.01771
B =
u1 u2
x1 0.0395 0
x2 0 0.03598
x3 0 0.07637
x4 0.06378 0
C =
x1 x2 x3 x4
y1 1 0 0 0
y2 0 1 0 0
D =
u1 u2
y1 0 0
y2 0 0
Continuous-time state-space model.
SEE COMPLETE ANSWER CLICK THE LINK